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A sequence of remarkable Poincaré inequalities for Dunkl operators.
- Source :
-
Integral Transforms & Special Functions . Feb2019, Vol. 30 Issue 2, p157-165. 9p. - Publication Year :
- 2019
-
Abstract
- We consider the Dunkl differential-difference operator associated with a reflection group W and a nonnegative parameter function k. We exhibit and study a new family of sharp integral inequalities related to the Dunkl heat semigroup generated by the Dunkl-Laplacian . These estimations are a natural extension and refinement of the Poincaré inequality established in [1] and used to derive other applications. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 10652469
- Volume :
- 30
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Integral Transforms & Special Functions
- Publication Type :
- Academic Journal
- Accession number :
- 133290954
- Full Text :
- https://doi.org/10.1080/10652469.2018.1544201